Abstract:
The article is concerned with a study of generalized group identities in linear groups.
It also investigates the question of the existence of generalized group identities with coefficients in $G$, when $G$ is a symplectic or orthogonal group. In particular, concrete generalized identities are presented in these groups, and sufficient conditions are indicated under which a fixed group monomial does not define an identity in $G$.
Bibliography: 10 titles.
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